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Finding the Fourth Proportional to 6,696.92, 9,238.78 and 4,708.76

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Solution

The fourth proportional to 6,696.92, 9,238.78 and 4,708.76 is: 6,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.92 : 9,238.78 = 4,708.76 : x
  2. Step 2: Convert to fraction form
    6,696.92/9,238.78 = 4,708.76/x
  3. Step 3: Cross multiply
    6,696.92x = 9,238.78 × 4,708.76
  4. Step 4: Simplify right side
    6,696.92x = 43,503,197.71
  5. Step 5: Solve for x
    x = 43,503,197.71/6,696.92
  6. Step 6: Final answer
    x = 6,496.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.